(7a-2x)(x+a)=

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Solution for (7a-2x)(x+a)= equation: 


Simplifying
(7a + -2x)(x + a) = 0

Reorder the terms:
(7a + -2x)(a + x) = 0

Multiply (7a + -2x) * (a + x)
(7a * (a + x) + -2x * (a + x)) = 0
((a * 7a + x * 7a) + -2x * (a + x)) = 0

Reorder the terms:
((7ax + 7a2) + -2x * (a + x)) = 0
((7ax + 7a2) + -2x * (a + x)) = 0
(7ax + 7a2 + (a * -2x + x * -2x)) = 0
(7ax + 7a2 + (-2ax + -2x2)) = 0

Reorder the terms:
(7ax + -2ax + 7a2 + -2x2) = 0

Combine like terms: 7ax + -2ax = 5ax
(5ax + 7a2 + -2x2) = 0

Solving
5ax + 7a2 + -2x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7a + -2x)(a + x) = 0


Subproblem 1
Set the factor '(7a + -2x)' equal to zero and attempt to solve:

Simplifying
7a + -2x = 0

Solving
7a + -2x = 0

Move all terms containing a to the left, all other terms to the right.

Add '2x' to each side of the equation.
7a + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
7a + 0 = 0 + 2x
7a = 0 + 2x
Remove the zero:
7a = 2x

Divide each side by '7'.
a = 0.2857142857x

Simplifying
a = 0.2857142857x

Subproblem 2
Set the factor '(a + x)' equal to zero and attempt to solve:

Simplifying
a + x = 0

Solving
a + x = 0

Move all terms containing a to the left, all other terms to the right.

Add '-1x' to each side of the equation.
a + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
a + 0 = 0 + -1x
a = 0 + -1x
Remove the zero:
a = -1x

Simplifying
a = -1x
Solution
a = {0.2857142857x, -1x}

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